Compare 45/64 and 30/7
1st number: 45/64, 2nd number: 4 2/7
45/64 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 7 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 64 × 7 = 448,
45/64 = 45 × 7/64 × 7 = 315/448 - Likewise, for the 2nd fraction, since 7 × 64 = 448,
30/7 = 30 × 64/7 × 64 = 1920/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/448 < 1920/448 or 45/64 < 30/7
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